9/4/2023

Chapter 1 - Simple Linear Regression - See Sec1.1R and Sec1.2-3R

• Review of simple linear regression
• Purpose
• Functional versus statistical relationship
• Formal Model
• Method of Least Squares
• Assumptions
  • Normality
  • Independence
  • Homogeneity of variance
• Estimation of variability about the regression line
  • Residuals
    • Residual = observed - predicted
  • MSE
• Assessing the fit
  • Residual plots (used to check assumptions)
    • Plot residuals against explanatory variable and other available variables
    • Construct a normal probability plot for the residuals

Examples with R

• Open GoogleDrive\Stat206-DataAnalysis-F2023\2eMarkkdown\Sec1.1.Rmd
• Open GoogleDrive\Stat206-DataAnalysis-F2023\2eMarkkdown\Sec1.2-3.Rmd

In class exercises

• 1.34, 1.36, and 1.39

Please complete your reading of Chapter 1 for class on Wednesday.